Which is true about the solution to the systems of inequalities shown?

The value of x in the second matrix is -1

The operation is given as:

[tex]\left[\begin{array}{ccc}2&-1&1\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}4&11&5\end{array}\right] \to \left[\begin{array}{ccc}0&-3&x\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}-18&11&5\end{array}\right][/tex]

Let the rows be represented by R1, R2 and R3.

By observation, the row operation performed is:

[tex]R1 \to R1 - 2R2[/tex]

This means that:

The new elements of row 1 are gotten by subtracting twice the elements of row 2 from row 1.

Using the above operation, we have:

x = 1 - 2 * 1

Evaluate the difference

x = -1

Hence, the value of x is -1

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Answer:

the graph of y=x^2-4x is parabola as shown in the image

Step-by-step explanation:

The graph of [tex]y = x^{2} -4x[/tex] by drawing the line y=x-4

so this gives us that the line  y=x-4 satisfies the equation  [tex]y = x^{2} -4x[/tex]

To get points put y = x - 4 in the equation  [tex]y = x^{2} -4x[/tex]

so we get x -4 = x( x- 4)

x =1 and x - 4 = 0

from here we get x = 1,4

now put these values in y = x -4

From here we get y = -3,0

so the points are (1 , -3) and ( 4 , 0)

Plot these on graph and we get the straight line .

For equation  [tex]y = x^{2} -4x[/tex]

As we know it is of type of parabola with shifted centre.

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Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

For more about volume of cylinder, do check out the following!

Answer:

in the attachment

Step-by-step explanation:

Given: Piece-wise function graph.

We need to find the function.

In the graph, we can see a two-piece

For -3≤x≤0

Endpoints on graph (-3,-6) and (0,0)

It is the horizontal line. The equation of the horizontal line is y=k.

Equation: y=3

Now, we write as a piecewise function.

First blank = 2x

Second Blank = 3

hope this helps:)

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:

x = 4500 × (1 - 76/100)

x = 1080

De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.

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Answer:

5.1% (nearest tenth)

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for r:

[tex]\implies \sf 2209=2000\left(1+r\right)^{2}[/tex]

[tex]\implies \sf \dfrac{2209}{2000}=(1+r)^2[/tex]

[tex]\implies \sf 1.1045=(1+r)^2[/tex]

[tex]\implies \sf \sqrt{1.1045}=1+r[/tex]

[tex]\implies \sf r = \sqrt{1.1045}-1[/tex]

[tex]\implies \sf r = 0.05095194942...[/tex]

[tex]\implies \sf r = 5.095194942...\%[/tex]

Therefore, the annual interest rate is 5.1% (nearest tenth)

Answer:

Im pretty sure its C which is 5776.2m

Step-by-step explanation:

Answer:

4y^4

Step-by-step explanation:

This polynomial is supposed to be ordered:

-3x^4+4y^4+5x^2y^2-10xy^3+9x^3y

I dont totally understand the question but I hope the ordered polynomial helps

Answer:

x = 2

Step-by-step explanation:

In order to have the two sides of the equation be equal, the exponents must equal.

-3x + 7 = 7x - 13

Add 3x to both sides.

7 = 10x - 13

Add 13 to both sides.

20 = 10x

Divide by 10.

2 = x

Check:

3^(-3•2+7)=3^(7•2-13)

3^1 = 3^1

3 = 3

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.

When there are two middle numbers we average them.

We have:

3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2

Let's sort the numbers from the smallest to the largest

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

Answer:

3.3

Step-by-step explanation:

The first thing you have to do is put them in order from least to greatest.

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

Check off one from the left side and one from the right side until you are left with the one in the middle.

When you do that, you are left with 3.3

Answer:

D. 531[tex]in^{2}[/tex]

Step-by-step explanation:

I suppose these are rectangles and not triangles.

Area of Rectangle = Length x Breadth

Area of Large Rectangle = 21 x 18

= 378[tex]in^{2}[/tex]

Area of Small Rectangle = 17 x 9

= 153[tex]in^{2}[/tex]

Total Area = Area of Large Rectangle + Area of Small Rectangle

= 378 + 153

= 531[tex]in^{2}[/tex]

A function assigns the values. The value of (gof)(3) is -576.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,

(gof)(x) = g(f(x))

           = -(x+21)²

The value of (gof)(3) will be,

(gof)(3) = -(3+21)²

            = -576

Hence, the value of (gof)(3) is -576.

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Points Z, L, and S are collinear points

When 2 or more points are on a line, the points are said to be collinear.

From the figure, we have:

Points Z, L and S on the same line

This means that they are collinear points

Hence, points Z, L, and S are collinear points

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The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

As we know with the help of associative property we can group the terms of addition or multiplication.

a + (b + c) = (a + b) + c

Option (C)

= (2 + 3) + 4

After using the associative property:

= 2 + (3 + 4)

Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

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Answer:

(x=4, y=-11) (x=-6, y=29)

Step-by-step explanation:

The solution is in the picture above...

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

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Answer:

Bags with zip = (bag with button and zip) + (bag with no button but only zip)

i.e.,

Rotal bags – (bags with neither of two + bags with only buttons)

=> 140-(39+23)

=> 140-62

=> 78

So, 78 bags have zips on them.

Answer:

2

Step-by-step explanation:

6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.

Answer:

[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]

Step-by-step explanation:

[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]

Answer:

$960

Step-by-step explanation:

The discount is 20%, so we need to find 80% of the original price:

[tex].80 \times 1200 = 960[/tex]

Answer:

The correct option is 3.

Step-by-step explanation:

It is given a graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.

The equation of a solid line is:

[tex]y-y_{1} = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } (x-x_{1})\\ y+2= \frac{1+2}{2-0}(x-0)\\ y+2= \frac{3}{2} x[/tex]

The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.

Check the related equation by point (0,0).

0+2 =[tex]\frac{3}{2}(0)[/tex]

2 = 0

The statement is true if and only if the sign is greater than or equal instead of equal.

The required inequality is

[tex]y+2 \geq \frac{3}{2}x[/tex]

Multiply both sides by 2.

[tex]2y + 4 \geq 3x\\4\geq 3x-2y\\3x-2y \leq 4[/tex]

Therefore option 3 is correct.

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Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

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Answer:

7/20

Step-by-step explanation:

To add fractions, the first step is to get a common denominator

1/4 + 1/10

The common denominator is 20

1/4 *5/5 = 5/20

1/10 *2/2 = 2/20

5/20 + 2/20 = 7/20

Answer:

Graph C

Step-by-step explanation:

Rearrange the terms so the equation is in slope-intercept form:
4x + y = 7
y = -4x + 7
The slope is -4, and the only graph that has a slope of -4 is graph C.

Answer:

27

Step-by-step explanation:

i promise :)

Answer:

27π units^2

Step-by-step explanation:

Answer:

Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.

Hope it helps!

Answer:

'Cause he didn't use the inverse operation! ^^

Step-by-step explanation:

Heres the correct way to solve it:

x-13=26

x=26+13

x=39

The correct way is to add 13 to both sides and not subtract.

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Hope that this helped! Best wishes.

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Answer:

[tex]8^{\frac{x}{3} }[/tex]

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Denise has 46(7/2) = 161 cherries.

So, they have a total of 161 + 46 = 207 cherries

Answer:

The formula for an arithmetic sequence is:

an = a1 + (n - 1)d

In which a1 is the first term and d is the common difference.

a) 12, 10, 8, 6, 4

an = 12 + (n - 1)-2

an = 12 -2n + 2

an = -2n + 14

b) 25, 20, 15, 10, 5

an = 25 + (n - 1)-5

an = 25 -5n + 5

an = -5n + 30

Answer:

6/6

Step-by-step explanation:

6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.

Answer:

I can give you the answer if you can answer a question

Step-by-step explanation:

Step-by-step explanation:

95 95 branded to the nearest 10 with the number line

deter determine the two constructive multiples of 10 that bracket 95

9 is between 90 and 100

asteroid on the number line 95 is the midpoint between the 90 and 100

therefore 95 rounding to the nearest 10 is equal to 100